A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere

Detalhes bibliográficos
Autor(a) principal: Barros,Abdênago
Data de Publicação: 2004
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400002
Resumo: In this note we will show that the inverse image under the stereographic projection of a circular torus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle.
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spelling A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphereFlat torusconstant mean curvaturecircular toristereographic projectionIn this note we will show that the inverse image under the stereographic projection of a circular torus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle.Academia Brasileira de Ciências2004-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400002Anais da Academia Brasileira de Ciências v.76 n.4 2004reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652004000400002info:eu-repo/semantics/openAccessBarros,Abdênagoeng2004-11-22T00:00:00Zoai:scielo:S0001-37652004000400002Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2004-11-22T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
title A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
spellingShingle A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
Barros,Abdênago
Flat torus
constant mean curvature
circular tori
stereographic projection
title_short A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
title_full A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
title_fullStr A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
title_full_unstemmed A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
title_sort A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
author Barros,Abdênago
author_facet Barros,Abdênago
author_role author
dc.contributor.author.fl_str_mv Barros,Abdênago
dc.subject.por.fl_str_mv Flat torus
constant mean curvature
circular tori
stereographic projection
topic Flat torus
constant mean curvature
circular tori
stereographic projection
description In this note we will show that the inverse image under the stereographic projection of a circular torus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle.
publishDate 2004
dc.date.none.fl_str_mv 2004-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652004000400002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.76 n.4 2004
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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